Notes on model theory of modules over Dedekind domains

被引：0
|
作者：
Gregory, Lorna [1 ]
Herzog, Ivo [2 ]
Toffalori, Carlo [3 ]
机构：
[1] Univ East Anglia, Sch Math, Norwich NR4 7TJ, England
[2] Ohio State Univ Lima, Dept Math, 401 B Galvin Hall,4240 Campus Dr, Lima, OH 45804 USA
[3] Univ Camerino, Sch Sci & Technol, Div Math, Via Madonna Carceri 9, I-62032 Camerino, Italy
来源：
BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA | 2024年 / 17卷 / 01期
关键词：
Dedekind domain; Locally bounded pp-formula; Poincare series; DECIDABILITY;
D O I：
10.1007/s40574-023-00372-w
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We associate a formal power series to every pp-formula over a Dedekind domain and use it to study Ziegler spectra of Dedekind domains R and (R) over tilde, where R a subring of (R) over tilde, with particular interest in the case when (R) over tilde is the integral closure of R in a finite dimensional separable field extension of the field of fractions of R.
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页码：11 / 39
页数：29
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